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Finding the Fourth Proportional to 248.54, 370.92 and 242.06

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Solution

The fourth proportional to 248.54, 370.92 and 242.06 is: 361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.54 : 370.92 = 242.06 : x
  2. Step 2: Convert to fraction form
    248.54/370.92 = 242.06/x
  3. Step 3: Cross multiply
    248.54x = 370.92 × 242.06
  4. Step 4: Simplify right side
    248.54x = 89,783.95
  5. Step 5: Solve for x
    x = 89,783.95/248.54
  6. Step 6: Final answer
    x = 361.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.